After the war Morris wrote for The Times, and in 1953 was its correspondent accompanying the British Mount Everest Expedition, which in the event was the first to scale Mount Everest. Morris reported the success of Hillary and Tenzing in a coded message to the newspaper, "Snow conditions bad stop advanced base abandoned yesterday stop awaiting improvement", and by happy coincidence the news was released on the morning of Queen Elizabeth's coronation.[1]

In 1949, Morris married Elizabeth Tuckniss, the daughter of a tea planter; they had five children together, including the poet and musician Twm Morys. One of their children died in infancy.

Morris began medical transition in 1964.[4] In 1972, Morris travelled to Morocco to undergo sex reassignment surgery, performed by surgeon Georges Burou, because doctors in Britain refused to allow the procedure unless Morris and Tuckniss divorced, something Morris was not prepared to do at the time.[4] They divorced later, but remained together and on 14 May 2008 were legally reunited when they formally entered into a civil partnership.[5] Morris lives mostly in North Wales.